Which statement best describes the current price for the good shown in this graph of supply and demand schedules? A. The current price should be raised to reflect lower supply. B. The current price reflects the point where supply and demand are balanced. C. The current price should be lowered to reflect higher supply. D. The current price should be lowered to reflect lower demand.​

Answer:

17

Step-by-step explanation:

Jenny is 21 years old and steve is 9 years old.

Answer:

Hii!

I would like to help you!

The age of Jenny is 21 years

The age of Steve is 9 years

Step-by-step explanation:

Let's make their age into unknown variables so it's easier to understand!

Jenny's age: x

Steve's age: y

If Jenny was four times older than Steve 5 years ago, the equation would be:

y+12-4y=-15

y+12-4y=-15

y-4y=-15-12

3y=-27

y=9

9+12=21

God Bless you!

Answer:

(1,852 km).

Step-by-step explanation:

Thus, the area of the rectangular face of the phone is found to be:

Area = 200 sq. in.

Due to the diversity of shapes seen in geometry, geometry is also referred to as the study of shapes.

Dimensions of the face of rectangular face of phone:

Length = 20 inches

width =  10 inches

Area = length x width

Area = 20 x 10

Area = 200 sq. in.

Thus, the area of the rectangular face of the phone is found to be:

Area = 200 sq. in.

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Complete question:

The top face of a phone is a rectangle measuring 20 inches by 10 inches. find the area of the face of the phone.

Answer:

CAN form a triangle

1. 11.5,10.5, 6.1

4. 8, 6.7, 9.8

5. 5, 6, 8

6. 9.5, 7.5, 8.5

CAN NOT for a Triangle

2. 9.5, 3.5, 4.5

3. 8, 6.7, 1

Step-by-step explanation:

The segments of length (11.5, 10.5, 6.1), (8, 6.7, 9.8), (5, 6, 8), and (9.5, 7.5, 8.5) form a triangle as the sum of any two sides is always greater than the third side in these segments.

The segments of length (9.5, 3.5, 4.5), and (8, 6.7, 1) don't form a triangle as the sum of any two sides is not always greater than the third side in these segments.

The necessary condition for any three sides to form a triangle is that the sum of any two sides has to be greater than the third side.

In the question, we are given the lengths of the segments and asked whether the segments form a triangle or not.

We assess all the options for the necessary condition to check whether it's a triangle or not.

∴ The segments of length (11.5, 10.5, 6.1), (8, 6.7, 9.8), (5, 6, 8), and (9.5, 7.5, 8.5) form a triangle as the sum of any two sides is always greater than the third side in these segments.

The segments of length (9.5, 3.5, 4.5), and (8, 6.7, 1) don't form a triangle as the sum of any two sides is not always greater than the third side in these segments.

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The value of X from the similar triangles above would be = 4. That is option B.

To determine the value of X from the missing part of the similar triangles, the formula that should be used is given below as follows:

VR/VU = VQ/VT

Where;

VR = 33

VU = 44

VQ = 8x-2

VT = 40

That is;

33/44 = 8x-2/40

33×40 = 44(8x-2);

1320 = 352x-88

1320+88 = 352x

1408 = 352x

X = 1408/352

= 4.

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Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.

1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.

3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).

4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.

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The five properties of triangle is listed below.

The term triangle is defined as the polygon with three angle, sides and vertices.

Here we have to list down the properties of triangle.

The basic five properties of triangle are as follows:

1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.

2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.

3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.

4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.

5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.

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Answer:

y = -3x + 7 or y + -3x - 2

Step-by-step explanation:

hope this helps! brainliest please.

Answer:

Total paper required = 165 cm²

Step-by-step explanation:

Paper required to cover the entire block = (Surface area of the prism at the base - area of the top of the prism) + Lateral surface area of the pyramid

Surface area of the rectangular prism = 2(lb + bh + hl)

(here l, b, h are the length, width and height respectively)

                                                               = 2(5×5 + 5×4 + 4×5)

                                                               = 2(25 + 20 + 20)

                                                               = 2×65

                                                               = 130 cm²

Area of the top of the prism = (side)²

                                              = 5²

                                              = 25 cm²

Lateral area of the square pyramid = 4 × Area of one lateral side

                                                          = 4 × \([\frac{1}{2}(\text{Base})(\text{Height})]\)

                                                          = 4 × \([\frac{1}{2}(5)(6)]\)

                                                          = 60 cm²

Total paper required = (130 - 25) + 60

                                   = 105 + 60

                                   = 165 cm²

Answer:

Amanda's

Step-by-step explanation:

Given :

3/6 + 2/4

The L. C. M of 6 and 4 = 12

(6 + 6) / 12

12 / 12

= 1

Renne's result = 5/10

Amanda's result = 1 whole

Hence, Amanda's result makes more sense.

There are 210 different flag signals that can be made when there are 3 indistinguishable red flags, 2 blue flags, and 2 white flags. To solve the given problem, we can use the concept of permutation, which is used to count the number of possible arrangements of objects.

The given flag signals consist of 3 indistinguishable red flags, 2 blue flags, and 2 white flags arranged vertically. The total number of flags is 7. Therefore, the total number of different flag signals that can be made can be calculated by using the following permutation formula:                                                                                                                                nPr = n! / (n - r)!                                                                                                                                                                       where n is the total number of objects, and r is the number of objects selected for each arrangement. In this case, n = 7 since there are 7 flags, and r = 7 since each arrangement consists of all 7 flags.

Now, let's calculate the number of ways to arrange the 7 flags such that they are all unique. To do this, we can use the permutation formula:                                                                                                                                                                   7P7 = 7! / (7 - 7)! = 7! / 0! = 7! = 5040. However, in this problem, there are 3 indistinguishable red flags, 2 blue flags, and 2 white flags. Therefore, we must divide the total number of unique arrangements by the number of arrangements of each group of indistinguishable objects. To do this, we can use the following permutation formula:                                                       n! / (n1! * n2! * ... * nk!),                                                                                                                                                                        where n is the total number of objects, and n1, n2, ..., nk are the number of objects in each group of indistinguishable objects. In this case, we have 3 indistinguishable red flags, 2 indistinguishable blue flags, and 2 indistinguishable white flags. Therefore, the total number of different flag signals that can be made is given by:                                                          7P7 / (3! * 2! * 2!) = 5040 / (6 * 2 * 2) = 210.

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Answer:

‒3

Step-by-step explanation:

2b/3‒5=3

2b=3(3‒5)

2b=3(‒2)

2b=‒6

2b/2=‒6/2

b=‒3

you can proof as the following(by replace ‒3)

2(‒3)/3‒5=3

‒6/‒2=3

3=3

i hope it helps you

Answer

The arc length of the semicircle is  5\(\pi\) units or 15.7\(\pi\) units

The arc length of the semi-circle will be equal to 11π.

The arc length of the semicircle is defined as the length of the curved path of the circle.

The arc length will be calculated as follows:-

Arc = π x r

Arc = π x 11

Arc = 11π

Therefore the arc length of the semi-circle will be equal to 11π.

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The dual for the given linear programming problems are as follows:

(i) Minimize Z' = 10a + 12b Subject to: a + 7b ≥ 3 2a + 3b ≥ 4 a + 9b ≥ 5 a, b ≥ 0.

(ii) Maximize Z' = 5a + 6b + 2c Subject to: 3a + 2b + c ≤ 1 4a + 6b + c ≤ 2 a + b ≤ 0 a, b, c ≥ 0.

In the first problem, we have a maximization problem with three variables (x, y, z) and two constraints. The dual formulation involves minimizing a new objective function with two variables (a, b) and four constraints. The coefficients of the variables and the constraints are transformed according to the rules of duality.

The primal problem is:

Maximize Z = 3x + 4y + 5z

Subject to:

x + 2y + z ≤ 10

7x + 3y + 9z ≤ 12

x, y, z ≥ 0

To find the dual, we introduce the dual variables a and b for the constraints:

Minimize Z' = 10a + 12b

Subject to:

a + 7b ≥ 3

2a + 3b ≥ 4

a + 9b ≥ 5

a, b ≥ 0

In the second problem, we have a minimization problem with two variables (y1, y2) and three constraints. The dual formulation requires maximizing a new objective function with three variables (a, b, c) and four constraints. Again, the coefficients and constraints are transformed accordingly.

The primal problem is:

Minimize Z = y1 + 2y2

Subject to:

3y1 + 4y2 > 5

2y1 + 6y2 ≥ 6

y1 + y2 ≥ 2

To find the dual, we introduce the dual variables a, b, and c for the constraints:

Maximize Z' = 5a + 6b + 2c

Subject to:

3a + 2b + c ≤ 1

4a + 6b + c ≤ 2

a + b ≤ 0

a, b, c ≥ 0

The duality principle in linear programming allows us to find a lower bound (for maximization) or an upper bound (for minimization) on the optimal objective value by solving the dual problem. It provides useful insights into the relationships between the primal and dual variables, as well as the economic interpretation of the problem.

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Answer:

-6, -5, -1

Step-by-step explanation:

Based on the question, (x+6) is a factor of f(x).

With this, you can do the long division method of dividing f(x) with (x+6) {Refer to the image}.

You'll get x²+6x+5 as a result.

Factorise it and you'll get

x²+6x+5 = (x+1)(x+5)

Then let (x+1)(x+5) = 0, x = -1, -5

Zero's of f(x) are -6, -5 -1

\(\text{Given that,}\\\\f(x) = x^3 +12x^2 +41x +30~~ \text{and} ~~ f(-6)=0\\\\\text{Since f(x)=0 when x = -6,}~ ~x-6 ~\text{is a factor of f(x).}\\\\x^3+12x^2+41x+30 = 0\\\\\implies x^3+6x^2+6x^2+36x+5x+30=0\\\\\implies x^2(x+6) +6x (x+6) +5(x+6)=0\\\\\implies (x+6)(x^2+6x+5)=0\\\\\implies (x+6)(x^2+5x+x+5)=0\\\\\implies (x+6)\textbf{[}x(x+5)+(x+5)\textbf{]}=0\\\\\implies (x+6)(x+1)(x+5)=0\\\\\text{Hence the roots are,}~ x = -6,~ x=-1~ \text{and}~ x = -5\)

The given equation, y = -1.7x + 8.5, is not in standard form with integer coefficients. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers and A is positive.

To convert the given equation to standard form, we need to eliminate the decimal coefficient. We can do this by multiplying both sides of the equation by 10 to clear the decimal: 10y = -17x + 85 Next, we want the coefficient of x to be positive, so we can multiply both sides of the equation by -1: -10y = 17x - 85

Now, we can rearrange the terms to match the standard form: 17x - 10y = 85 So, the equation of the given line in standard form with integer coefficients is 17x - 10y = 85. To convert the given equation to standard form, we need to eliminate the decimal coefficient.

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Answer:

Step-by-step explanation:

To find the eigenvalues of a matrix M, we need to solve the characteristic equation det(M - λI) = 0, where I is the identity matrix of the same size as M, and λ is the eigenvalue we are trying to find.

For the matrix M = [ -4.5 2.5

-7.5 5.5 ]

the characteristic equation is:

det(M - λI) = det([ -4.5 - λ 2.5

-7.5 5.5 - λ ])

Expanding this determinant using the first row, we get:

(-4.5 - λ) (5.5 - λ) - 2.5 (-7.5) = 0

Simplifying and rearranging, we get:

λ^2 - λ - 6 = 0

This is a quadratic equation with solutions:

λ = (1 ± √(1 + 24))/2

λ = (1 ± 5)/2

So the possible eigenvalues of M are λ = -2 or λ = 3.

Note that we have not yet found the eigenvectors associated with each eigenvalue. To do so, we need to solve the equation (M - λI)x = 0 for each eigenvalue. This will give us a set of linearly independent eigenvectors that span the eigenspace associated with that eigenvalue.

The possible eigenvalues are:

λ1 = 1/2 + (√(11)/2)i

λ2 = 1/2 - (√(11)/2)i

To find the eigenvalues of the given matrix, we need to solve the characteristic equation:

|−4.5 − λ 2.5| = (−4.5 − λ)(5.5 − λ) − (−7.5)(2.5)

|−7.5 5.5 − λ| = λ² − 1λ + 3

Expanding the determinant and simplifying, we get:

λ² − 1λ + 3 = 0

Using the quadratic formula, we can solve for λ:

λ = (1 ± √(1 - 4(1)(3))) / 2

= (1 ± √(1 - 12)) / 2

= (1 ± √(-11)) / 2

Since the discriminant is negative, there are no real eigenvalues. The two eigenvalues are complex conjugates:

λ1 = (1 + √(-11)) / 2

λ2 = (1 - √(-11)) / 2

Therefore, the possible eigenvalues are:

λ1 = 1/2 + (√(11)/2)i

λ2 = 1/2 - (√(11)/2)i

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The conditional statement to determine if the 10 cents off promotion applies at the local gas station would be "If today is Wednesday, then the price of gas is reduced by 10 cents."

This statement establishes a condition (today being Wednesday) and states the resulting action (a 10 cent reduction in gas price). By using the "if-then" structure, the statement indicates that the promotion is contingent upon the specific day of the week. If it is not Wednesday, the promotion does not apply, and the price of gas remains unchanged. This conditional statement allows customers to easily determine if they can take advantage of the 10 cents off promotion when planning their visit to the gas station.

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Answer:

Step-by-step explanation:

56.1,12.1,23.6

Answer:

The concentration of the new mixture is 46%

Step-by-step explanation:

The first solution of 5 fl. oz. is concentrated at 2% alcohol. The amount of alcohol in the solution is:

5*2/100=0.1 fl. oz.

The second solution of 11 fl. oz. is 66% alcohol. The amount of alcohol in the solution is:

11*66/100=7.26 fl. oz.

The total alcohol in the mixture is

0.1 + 6.6 = 7.36 fl. oz.

The total amount of the mixture is:

5 + 11 = 16 fl.oz.

The concentration of the new mixture is:

7.36 / 16 * 100 = 46%

The concentration of the new mixture is 46%

Answer:

If you meant the area was 255 in²:

Perimeter is \(4\sqrt{255}\), or around 63.89 in.

If you meant that the area was 225 in²:

Perimeter is 60 in

Step-by-step explanation:

If you meant the area was 255 in²:

If we have a square with an area of 255 in², then it's side length will be \(\sqrt{255}\) inches long, since the area of a square is \(l^2\), where l is the length.

Since \(\sqrt{255}\) doesn't return a rational number, we'll leave it as \(\sqrt{255}\).

Now that we know the side length, the perimeter of a square is represented as \(4l\), where l is the length.

We know the length is \(\sqrt{255}\), so we can multiply this by 4.

\(4\sqrt{255}\). This is the simplest it gets.

If you meant the area was 225 in²:

Following the same concept as again:

Length: \(\sqrt{225} = 15\)

Perimeter: \(4\cdot15=60\) in

Hope this helped!

Answer:

P = 63.87 in

Step-by-step explanation:

area of a square window = 255 in²

find perimeter of the window.

A = s²

255 = s²

s = 15.97 in.

perimeter = 4 * s

P = 4 (15.97)

P = 63.87 in

The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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9514 1404 393

Answer:

  x + 15

Step-by-step explanation:

The overall length is 2x+15, and the dotted side is shown to be x shorter than that. Its length is ...

  2x+15 - x = x + 15 . . . . length of dotted side

Answer:

Slope of 2

Step-by-step explanation:

First thing is to look at the change in x and y from the points. You can do this by subtracting the x valie from the other value and the same for the y values. So you would do 2-0=2.

So we know the change in x between the points, so now we find the change in y. 5-1=4.

Now that we know the change in x and y, we use the expression below to solve for the slope.

\( \frac{rise}{run} \: or \: \frac{y}{x} \)

We can insert what we found and then solve for the equation

\( \frac{4}{2} \)

So we solve for that, which is 2. Now we know the slope is 2.

Answer:

given us,

(x1y1)= (2,5)

(x2y2)= (0,1)

here,

(y-y1)= (y2-y1)/ (x2-x1)× (x-x1)

or, (y-5)=(1-5)/(0-2)× (x-2)

or, y-5= -4/-2 ×(x-2)

or,y-5= 2(x-2)

or, y-5/ x-2= 2

or,y-5= 2x-4

or, 2x-y= -4+5

:. 2x-y= 1

Step-by-step explanation:

2x-y= 1

Answer:

$130

Step-by-step explanation:

Answer:

$130

Step-by-step explanation:

1300×10%

$130

Answer:

The formula for area of a parallelogram is A=bh

x=10.3

Step-by-step explanation:

We don't have the base but we have the height.

the base is x and the height is 5

if the area is 51.5

we should divide the height to find the base.

51.5÷5=10.3

so the base is 10.3

Check if answer is correct:

b=10.3

h=5

a= 51.5

10.3(5)=51.5

a= 51.5cm²

I hope this helps as long as you know the formula it's easy :D

Answer:

2

Step-by-step explanation:

Do 15 minus 9

Then do 6 divided by 3

Trust me

If u don’t believe me substitute the 2 and you can find that it is greater than or equal to 15

Answer:

k = 5

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportionality

Given

y = 5x , then k = 5